Qualitative and quantitative analysis of nonlinear systems : theory and applications /

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Bibliographic Details
Author / Creator:Zhurovsʹkyĭ, M. Z. (Mykhaĭlo Zakharovych), author.
Imprint:Cham, Switzerland : Springer, [2018]
Description:1 online resource (XXXIII, 240 pages) : 43 illustrations, 23 illustrations in color
Language:English
Series:Studies in Systems, Decision and Control, 2198-4182 ; 111
Studies in systems, decision and control ; 111.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11541456
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Other authors / contributors:Kasyanov, Pavlo O., author.
ISBN:9783319598406
3319598406
3319598392
9783319598390
Digital file characteristics:text file PDF
Notes:Includes bibliographical references and index.
Print version record.
Summary:Here, the authors present modern methods of analysis for nonlinear systems which may occur in fields such as physics, chemistry, biology, or economics. They concentrate on the following topics, specific for such systems: (a) constructive existence results and regularity theorems for all weak solutions; (b) convergence results for solutions and their approximations; (c) uniform global behavior of solutions in time; and (d) pointwise behavior of solutions for autonomous problems with possible gaps by the phase variables. The general methodology for the investigation of dissipative dynamical systems with several applications including nonlinear parabolic equations of divergent form, nonlinear stochastic equations of parabolic type, unilateral problems, nonlinear PDEs on Riemannian manifolds with or without boundary, contact problems as well as particular examples is established. As such, the book is addressed to a wide circle of mathematical, mechanical and engineering readers.
Other form:Printed edition: 9783319598390
Standard no.:10.1007/978-3-319-59840-6